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3 years ago

7x + 5=-2 find the value of 8x

Mathematics

1 answer:

Ymorist [56]3 years ago

5 0

$7x+5=-2\\7x=-2-5\\7x=-7\\x=-1\\\\8x=8*(-1)=-8$

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Example of inverse operation

luda_lava [24]

Examples of inverse operations are addition and subtraction or multiplication and division.

6 0

4 years ago

Jacob knows that the adult population gets, on average, eight hours of sleep each night. A hypothesis test can help him see if c

Vlad [161]

Answer:

The t-statistic that Jacob calculates is $t = -2.71$

Step-by-step explanation:

Jacob knows that the adult population gets, on average, eight hours of sleep each night. A hypothesis test can help him see if college students are different from the adult population.

At the null hypothesis, we test if the mean is of 8 hours, that is:

$H_0: \mu = 8$

At the alternative hypothesis, we test if the mean is different of 8 hours, that is:

$H_1: \mu \neq 8$

The test statistic is:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

8 is tested at the null hypothesis:

This means that $\mu = 8$

From a sample of 101 students, Jacob tabulated that his sample of students got an average of 7.3 hours of sleep each night, with a standard deviation of 2.6.

This means that $n = 101, X = 7.3, s = 2.6$

What is the t-statistic that Jacob calculates?

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{7.3 - 8}{\frac{2.6}{\sqrt{101}}}$

$t = -2.71$

The t-statistic that Jacob calculates is $t = -2.71$

6 0

3 years ago

Help is much appreciated :)

andrew-mc [135]

Answer:

Your answer is B

y < x

y ≥ -x

Step-by-step explanation:

6.14 Checkpoint: Systems of Linear Inequalities

I took the test.

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3 years ago

To solve x2−8x=10 by completing the square, what should be added to both sides?

Murrr4er [49]

Answer:

16 will be added.

Step-by-step explanation:

Given equation is,

x² - 8x = 10

To convert this equation into a square form we will follow the following steps,

Step (1). x² - 2(4x) = 10

Step (2). x² -2(x)(4) + 16 = 10 + 16

Step (3). x² - 2(4)(x) + 4² = 26

Step (4). (x - 4)² = 26

In step (2) we have added 16 to both the sides of the equation to make is a perfect square.

4 0

3 years ago

Is x^(-3/7) equivalent to 7th root of (1/(x^3))

lesya692 [45]

Answer:

Yes

Step-by-step explanation:

x^(-3/7) = 7th root of x^(-3) = 7th root of (1/x^3)

3 0

3 years ago